Solve 6/35-8/45+5/63

$$\frac { 6 } { 35 } - \frac { 8 } { 45 } + \frac { 5 } { 63 }$$

Evaluate

$$\frac{23}{315}\approx 0.073015873$$

Solution Steps

Least common multiple of 35 and 45 is 315. Convert \frac{6}{35} and \frac{8}{45} to fractions with denominator 315.

$$\frac{54}{315}-\frac{56}{315}+\frac{5}{63}$$

Since \frac{54}{315} and \frac{56}{315} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-56}{315}+\frac{5}{63}$$

Subtract 56 from 54 to get -2.

$$-\frac{2}{315}+\frac{5}{63}$$

Least common multiple of 315 and 63 is 315. Convert -\frac{2}{315} and \frac{5}{63} to fractions with denominator 315.

$$-\frac{2}{315}+\frac{25}{315}$$

Since -\frac{2}{315} and \frac{25}{315} have the same denominator, add them by adding their numerators.

$$\frac{-2+25}{315}$$

Add -2 and 25 to get 23.

$$\frac{23}{315}$$

Factor

$$\frac{23}{3 ^ {2} \cdot 5 \cdot 7} = 0.07301587301587302$$